What is the limit as x approaches 0 of (x+cos(2x))^{csc(3x)} ?

The limit as x approaches 0 of (x+cos(2x))^{csc(3x)} is cube root of e

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

limit as x approaches 0 of (x+cos(2x))^{csc(3x)}

x \to 0 lim ((x + cos (2 x))^{c s c (3 x)})

Decimal

1.39561 \dots

Solution steps

x \to 0 lim ((x + cos (2 x))^{c s c (3 x)})

x \to a - lim f (x) = x \to a + lim f (x) = L

then

x \to a lim f (x) = L

What is the limit as x approaches 0 of (x+cos(2x))^{csc(3x)} ?
The limit as x approaches 0 of (x+cos(2x))^{csc(3x)} is cube root of e